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This paper proposes a preliminary work on a Conditional Task and Motion Planning algorithm able to find a plan that minimizes robot efforts while solving assigned tasks. Unlike most of the existing approaches that replan a path only when it…

Robotics · Computer Science 2020-09-08 Nicola Castaman , Elisa Tosello , Enrico Pagello

Temporal logic is a concise way of specifying complex tasks. But motion planning to achieve temporal logic specifications is difficult, and existing methods struggle to scale to complex specifications and high-dimensional system dynamics.…

Robotics · Computer Science 2023-06-02 Vince Kurtz , Hai Lin

We report a globally-optimal approach to robotic path planning under uncertainty, based on the theory of quantitative measures of formal languages. A significant generalization to the language-measure-theoretic path planning algorithm…

Robotics · Computer Science 2010-08-24 Ishanu Chattopadhyay , Anthony Cascone , Asok Ray

Task-motion planning (TMP) addresses the problem of efficiently generating executable and low-cost task plans in a discrete space such that the (initially unknown) action costs are determined by motion plans in a corresponding continuous…

Robotics · Computer Science 2018-11-26 Yuqian Jiang , Fangkai Yang , Shiqi Zhang , Peter Stone

This article presents a multi-robot trajectory planning method which not only guarantees optimization feasibility and but also resolves deadlocks in obstacle-dense environments. The method is proposed via formulating a recursive…

Robotics · Computer Science 2023-02-23 Yuda Chen , Chenghan Wang , Meng Guo , Zhongkui Li

We present a model-free reinforcement learning algorithm to find an optimal policy for a finite-horizon Markov decision process while guaranteeing a desired lower bound on the probability of satisfying a signal temporal logic (STL)…

Systems and Control · Electrical Eng. & Systems 2021-09-29 Krishna C. Kalagarla , Rahul Jain , Pierluigi Nuzzo

Formulating the intended behavior of a dynamic system can be challenging. Signal temporal logic (STL) is frequently used for this purpose due to its suitability in formalizing comprehensible, modular, and versatile spatiotemporal…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Patrick Halder , Hannes Homburger , Lothar Kiltz , Johannes Reuter , Matthias Althoff

Emerging applications in autonomy require control techniques that take into account uncertain environments, communication and sensing constraints, while satisfying highlevel mission specifications. Motivated by this need, we consider a…

Systems and Control · Computer Science 2018-09-19 Suda Bharadwaj , Mohamadreza Ahmadi , Takashi Tanaka , Ufuk Topcu

We propose to synthesize a control policy for a Markov decision process (MDP) such that the resulting traces of the MDP satisfy a linear temporal logic (LTL) property. We construct a product MDP that incorporates a deterministic Rabin…

Systems and Control · Computer Science 2014-09-22 Dorsa Sadigh , Eric S. Kim , Samuel Coogan , S. Shankar Sastry , Sanjit A. Seshia

We present a reinforcement learning (RL) framework to synthesize a control policy from a given linear temporal logic (LTL) specification in an unknown stochastic environment that can be modeled as a Markov Decision Process (MDP).…

Robotics · Computer Science 2026-04-07 Alper Kamil Bozkurt , Yu Wang , Michael M. Zavlanos , Miroslav Pajic

Path planning for a robot is one of the major problems in the area of robotics. When a robot is given a task in the form of a Linear Temporal Logic (LTL) specification such that the task needs to be carried out repetitively, we want the…

Robotics · Computer Science 2021-03-05 Priya Purohit , Indranil Saha

This paper investigates the motion planning of autonomous dynamical systems modeled by Markov decision processes (MDP) with unknown transition probabilities over continuous state and action spaces. Linear temporal logic (LTL) is used to…

Machine Learning · Computer Science 2022-01-25 Mingyu Cai , Mohammadhosein Hasanbeig , Shaoping Xiao , Alessandro Abate , Zhen Kan

Motion planning with simple objectives, such as collision-avoidance and goal-reaching, can be solved efficiently using modern planners. However, the complexity of the allowed tasks for these planners is limited. On the other hand, signal…

Robotics · Computer Science 2025-03-05 Wenliang Liu , Nathalie Majcherczyk , Federico Pecora

This paper proposes a method for designing human-robot collaboration tasks and generating corresponding trajectories. The method uses high-level specifications, expressed as a Signal Temporal Logic (STL) formula, to automatically synthesize…

Robotics · Computer Science 2023-07-03 Giuseppe Silano , Amr Afifi , Martin Saska , Antonio Franchi

We propose novel techniques for task allocation and planning in multi-robot systems operating in uncertain environments. Task allocation is performed simultaneously with planning, which provides more detailed information about individual…

Artificial Intelligence · Computer Science 2018-08-13 Fatma Faruq , Bruno Lacerda , Nick Hawes , David Parker

We consider a problem called task ordering with path uncertainty (TOP-U) where multiple robots are provided with a set of task locations to visit in a bounded environment, but the length of the path between a pair of task locations is…

Robotics · Computer Science 2016-07-05 Bradley Woosley , Prithviraj Dasgupta

Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on motion planning has followed two main strategies to provide a safe bound on an…

Motion planning under differential constraints is a classic problem in robotics. To date, the state of the art is represented by sampling-based techniques, with the Rapidly-exploring Random Tree algorithm as a leading example. Yet, the…

Robotics · Computer Science 2015-03-03 Edward Schmerling , Lucas Janson , Marco Pavone

Task and motion planning (TAMP) for multi-robot systems, which integrates discrete task planning with continuous motion planning, remains a challenging problem in robotics. Existing TAMP approaches often struggle to scale effectively for…

Robotics · Computer Science 2025-04-30 Zhongqi Wei , Xusheng Luo , Changliu Liu

Motion planning is a fundamental problem in autonomous robotics that requires finding a path to a specified goal that avoids obstacles and takes into account a robot's limitations and constraints. It is often desirable for this path to also…

Robotics · Computer Science 2021-01-14 Jonathan D. Gammell , Marlin P. Strub